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Anettt [7]
3 years ago
11

If f(x)=3-2xand g(x)= 1/x+5, what is the value of f/g (8)?

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

-\frac{104}{41}

Step-by-step explanation:

\frac{f(x)}{g(x)}=\frac{3-2x}{\frac{1}{x} +5}

To make this easier to deal with, we can plug in 8 first:

  • \frac{f(8)}{g(8)}=\frac{3-2(8)}{\frac{1}{(8)}+5 }
  • Then we can simplify the terms to get \frac{3-16}{\frac{1}{8} +5}=\frac{-13}{\frac{1}{8} +5}
  • The denominator of this fraction needs to have its own common denominator. To do so, we can multiply the 5 by \frac{8}{8} to give us: \frac{1}{8}+\frac{40}{8}
  • We can then simplify this to \frac{41}{8}
  • Now putting this back into our original fraction we have: \frac{-13}{\frac{41}{8} }
  • This is also equivalent to \frac{(\frac{-13}{1} )}{(\frac{41}{8} )} which means we need to take the whole denominator of the fraction and flip it and multiply it by the numerator to get: \frac{-13}{1}*\frac{8}{41}
  • This then simplifies to \frac{-104}{41}
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shusha [124]

Combine like terms to get 2x + 6x which is 8x and 3y + 9y which is 12y so the simplified answer is 8x + 12y

7 0
3 years ago
What is the value of 6x-3x +7 if x=9?
Lynna [10]

6x - 3x + 7 \\ 3x + 7 \\ 3(9) + 7 \\ 27 + 7 \\  = 34
Combine like terms and "plug in" x into the equation to eventually get 34 after some addition
8 0
3 years ago
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Tom [10]

Given:

The values are a=0.\overline{6},b=0.75.

To find:

The values of ab and \dfrac{a}{b}.

Solution:

We have,

a=0.\overline{6}

a=0.666...                     ...(i)

Multiply both sides by 10.

10a=6.666...                 ...(ii)

Subtracting (i) from (ii), we get

10a-a=6.666...-0.666...

9a=6

a=\dfrac{6}{9}

a=\dfrac{2}{3}

And,

b=0.75

b=\dfrac{75}{100}

b=\dfrac{3}{4}

Now, the product of a and b is:

ab=\dfrac{2}{3}\times \dfrac{3}{4}

ab=\dfrac{1}{2}

The quotient of a and b is:

\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}

\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}

\dfrac{a}{b}=\dfrac{8}{9}

Therefore, the required values are ab=\dfrac{1}{2} and \dfrac{a}{b}=\dfrac{8}{9}.

6 0
3 years ago
What does this equal to?
lesantik [10]

Answer:

x = 14

y = 7

z = 22

Step-by-step explanation:

x = # of cucumbers

y = # zucchini

z = # tomatoes

x + y + z = 43

2y = x  or  y = x/2

x + 8 = z

x + x/2 + x + 8 = 43

2x + x/2 = 35

4x + x = 70

5x = 70

x = 14

2y = 14

y = 7

14 + 8 = z

z = 22

Check if these variables are right:

14 + 7 + 22 = 43 ✔️

6 0
2 years ago
46. Five people L, M, n, O and P sit in a row, not necessarily in the same order.
daser333 [38]
C M sits exactly at the center of the row.
O L M P N
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